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A tuning fork is used to produce resonance in glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27  o C two successive resonances are produced at 20   cm and 73   cm of column length. If the frequency of the tuning fork is 320   Hz , the velocity of sound in air at 27  o C is

Options

  1. A350   m   s - 1
  2. B339   m   s - 1
  3. C330   m   s - 1
  4. D300   m   s - 1

Correct answer

B. 339   m   s - 1

Step-by-step solution

In resonance tube experiment, Speed of sound v = 2 f l 2 - l 1 = 2 320 × 0.73 - 0.20 =   640 × 0.53 = 339 . 2   m   s - 1

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